Abstract
The notions of scalar and vector potential of a layer of charge or currents are presented in differential geometric language, using a notation which aims at clarifying the connection with standard vector algebraic formalism.
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References
Bossavit, A: The’ scalar’ Poincaré-Steklov operator and the ‘vector’ one (…). in Domain Decomposition Methods for Partial Differential Equations (R. Glowinski et al., eds.), SIAM, Philadelphia (1991) 19–26.
Costabel, M.: Boundary integral operators on Lipschitz domains. SIAM J. Math. Anal. 19 (1988) 613–26.
Morrey, C.B.: Multiple integrals in the calculus of variations. Springer-Verlag, New York (1966).
Paquet, L.: Problèmes mixtes pour le problème de Maxwell. Annales Fac. Se. Toulouse 4 (1982) 103–41.
de Rham, G.: Variétés différentiables. Hermann, Paris (1960).
Weiland, T.: Time domain electromagnetic field computation with finite dif-ference methods. Int. J. Numer. Modelling: Electronic Networks, Devices and Fields 9 (1996) 295–319.
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Bossavit, A. (2001). On the Representation of Differential Forms by Potentials in Dimension 3. In: van Rienen, U., Günther, M., Hecht, D. (eds) Scientific Computing in Electrical Engineering. Lecture Notes in Computational Science and Engineering, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56470-3_9
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DOI: https://doi.org/10.1007/978-3-642-56470-3_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42173-3
Online ISBN: 978-3-642-56470-3
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